Graph the solution of the system of inequalities. x + 5 6 y ≥ 2x - 6 <

Q: lim Ax-o+ 8 00 x + 4x Ax 1 8 X

A: We need to evaluate the following limit

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Q: A region bounded by f(y) = √y, y = 4, and x = 0 is shown. What is the volume of the solid formed by…

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Q: y = x² - ²₁ (-2,5)

A: Derivative by defination rules

Q: Use the substitution z = 6 tant, -≤t≤to simplify the following integral: dz 36 +22 Note that you may…

A: By using the substitution x=6 tan t, -π2≤t≤π2 to simplify the  following integral. ∫136+x2 dx

Q: 2 dn = 5 n n!

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Q: 5. S dx x√16x²-5

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Q: 1. 3 [x² x³√x² + 1 dx

A: 1. Given thathere need to substitute

Q: Problem #3: Consider the following matrix. A = d a b C f (a) Suppose that det(A) = −6. Let B be…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: Write the name of the metric system prefix associated with each mathematical factor. Do not use any…

A: Write the name of the metric system prefix associated with each mathematical factor. Do not use any…

Q: Complete the square and find the indefinite integral. (Use C for the constant of integration.) x² √…

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Q: YOUR TEACHER Kane Manufacturing has a division that produces two models of grates, model A and model…

A: Maximum of P = 2x + 1.5y occurs at vertex D(120,160)  P = 2(120) + 1.5(160) P = 480 Original…

Q: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

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Q: (a) (an) = (1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, ...)

A: The given sequence is (an) = (1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, ...).To determine…

Q: A region bounded by f(x) = x + 3, y = 1, x = -1, and x = 2 is shown. What is the volume of the solid…

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Q: Write the following numbers in Cartesian form (i.e., in the form a + bi). Use the principal value…

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Q: (x(t) Find a plane containing the point (2,-4,-2) and the line y(t) z(t) = = = 2 - 5t 4 - 3t 5- 4t

A: Equation of the plane general form is  a(x-x_1)+b(y-y_1)+c(z-z_1)=0

Q: Write the vector below in trigonometric form. ƒ = Of = 2√6 Of = 2√6 ○ f = 6√2 Of=6√2 Submit Answer

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Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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Q: Complete the square and find the indefinite integral. (Use C for the constant of integration.) [√x²x…

A: We have to integrate  x2/(2x-x2)1/2 with respect to dx For solution , put x= 2sin2z

Q: Write a pair of parametric equations for the conic section. t² Ox=-₁₁y=t x=t, y = t² 3 --2 +…

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Q: Suppose f(x)= = -4 6x + 6 Then the expression

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Q: 3. Given the function f(x, y, z) = x²y³ - y²z³, evaluate fxx, fyz, and fzx. x + y

A: As per our guidelines we are supposed to answer only one question ,please repost the other question…

Q: Find the formula for dif eªy = x² + y².

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Q: Given the region bounded by the graphs of y = In x, y = 0, and x = e, find the following. (Round…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Which integral would represent the area shown below? The function is f(x): 2 1.5 1 0.5- 1 2 3 11

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Q: If f'(x) < 0 and f"(x) < 0, then which of the following is true? Of(x) is decreasing and concave…

A: Here we need to find out the correct option for the given statement.

Q: 4. The formula A = P(1 + i)" gives the amount, A, of an investment of P dollars after n years at 1%…

A: As per the problem the amount A of investment P after n years at i% interest compounded yearly is…

Q: What formula would be used to calculate the middle rectangle approximation Joyx+2dx using four…

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Q: Vector a is expressed in magnitude and direction form as a = (√30, 110°). What is the component form…

A: Solving the problem

Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: (a) ㅣ dr x(x - 1)3

A: The given integral is:I=∫dxx(x-1)2

Q: Let f(x, y, z) = x³y³ + z³ and x = s4, y = st², and z = s¹t. (a) Calculate the primary derivatives…

A: fx,y,z=x3y3+z3  and x=s4,y=st2,z=s4t

Q: Here is a 45-45-90 triangle. 10√ 2 ft Find the lengths of the missing sides. Enter the length of the…

A: The 45-45-90 triangle rule states that the three sides of the triangle are in the ratio 1:1:√2, here…

Q: PROVE OR DISPROVE THE FOLLOWINCT: (SHOW FULL SOLUTION) 44 dx4 ((x ²³²= 1) inx) = 6 (x³71) x4

A: We have to proof that given expression. We know that  d/dx{f(x)×g(x)}=f(x)g'(x)+g(x)f'(x)

Q: m Question 2 Find the area of the parallelogram. B C 4 112 9 A

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Q: ΔEFG, g = 5.1 cm, e = 3.7 cm and ∠F=112°. Find ∠G, to the nearest 10th of a degree.

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Q: f(x) = x²-2x-10, (P¹) (5)

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Q: 7(6x + 1)³√√x² + x (6x + 1)5 x² + x 2

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Q: Given an acceleration vector, initial velocity (uo.vo)., and initial position (xo.Yo), find the…

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Q: 25 lim x+c+ (x-c)³ 25 lim x+c¯(x-c)³

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Q: Write out the form of the partial fraction decomposition of the function (see example). Do not…

A: The given function is, x4+5x5+3x3

Q: d. Briefly state the difference between a vector and a scaler. e. Determine all values of x for…

A: he main difference between a vector and a scalar lies in their mathematical properties and the…

Q: Find the equation of the curve whose third derivative at any point P(x, y) is equal to 2 and has at…

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Q: Question 2 Match each system of equations with the description of its solutions. 3x-9y+12z = -6 x-3y…

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Q: A particle that moves along a straight line has velocity v(t) = t²e-8tm/s after t seconds. This…

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Q: 4. A particle moves along x - axis and the differential equation governing the motion of the…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Evaluate the surface integral. 11, 1²₁ yz ds S is the surface with parametric equations x = u², y =…

A: To evaluate the surface integral ∫∫S yz dS, we first need to compute the necessary components for…

Q: The consumer expenditure, in dollars, for a commodity is the product of its market price, p, and the…

A: Consumer expenditure is given by÷ E=9000p-145p2